PSLE A book shop is having a book sale.
The 1st book is at 15% discount.
The 2nd book is at 30% discount.
The price of the 2nd book should be equal or lower than the price of the 1st book.
Rachel and Brandon each bought two books at the sale.
- Rachel's books were priced at $12 and $14. How much more did she pay for the 1st book than the 2nd book?
- Brandon paid a total of $52.15 for his two books. He paid $7.35 more for the 1st book than for the 2nd book. What was the price of the 1st book before discount?
|
1st book |
2nd book |
Total amount |
Original price
|
100% $14 |
100% $12 |
|
Discount |
- 15% |
- 30% |
|
Sale price |
85% |
70% |
? |
(a)
Selling price of the 1st book
= 85% x 14
=
85100 x 14
= $11.90
Selling price of 2nd book
= 70% x 12
=
70100 x 12
= $8.40
Amount that Rachel paid more for the 1st book than the 2nd book
= 11.90 - 8.40
= $3.50
|
1st book |
2nd book |
Total amount |
Original price |
100% |
100% |
|
Discount |
- 15% |
- 30% |
|
Sale price |
85%
|
70%
|
|
Compare 1st book and 2nd book |
1 u + $7.35 |
1 u |
$52.15 |
(b)
Sale price of the 1st book = 1 u + 7.35
Sale price of the 2nd book = 1 u
Total amount that Brandon paid
= 1 u + 7.35 + 1 u
= 2 u + 7.35
2 u + 7.35 = 52.15
2 u = 52.15 - 7.35
2 u = 44.80
1 u = 44.80 ÷ 2 = 22.40
Sale price of the 1st book
= 1 u + 7.35
= $29.75
85% of the price = $29.75
100% of the price =
29.7585 x 100 = $35
Selling price of the 1st book before discount = $35
Answer(s): (a) $3.50; (b) $35